Paper Citation Record · LEDGER

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning

As of 23 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2507.09498.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.09498 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:07:59.351663Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

37 of 37 outbound references displayed

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verified fuzzy33
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8d77eaa7-59ca-4640-b964-a8aebaf4c0b2 · outbound

This paper cites Edge computing: vision and challenges,.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning Edge computing: vision and challenges,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:07.528175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7e80e3ee-06bc-4909-b144-6c817210464b · outbound

This paper cites A review on bi-level optimization: from classical to evolutionary approaches and applications,.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning A review on bi-level optimization: from classical to evolutionary approaches and applications,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:07.289777Z

Source-reported events for the cited work

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Observation cf7cb97f-a8de-4f68-80b9-3ce12249173a · outbound

This paper cites Network Utility Maximization with Unknown Utility Functions: A Distributed, Data-Driven Bilevel Optimization Approach.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning Network Utility Maximization with Unknown Utility Functions: A Distributed, Data-Driven Bilevel Optimization Approach

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-06T18:07:59.507667Z

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Observation b9d4f92f-7a68-42a2-bd0e-3eea0c4bee50 · outbound

This paper cites A framework for scalable bilevel optimiza- tion: Identifying and utilizing the interactions between upper-level and lower-level variables.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning A framework for scalable bilevel optimiza- tion: Identifying and utilizing the interactions between upper-level and lower-level variables

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:07.090294Z

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Observation 24f91f3d-aebf-42fb-96a0-d4d0d05be0d6 · outbound

This paper cites The mixed-integer linear bi-level programming problem,.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning The mixed-integer linear bi-level programming problem,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:06.807991Z

Source-reported events for the cited work

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Observation a888121c-b3c5-488b-8bb0-df336dd93d03 · outbound

This paper cites Resolution method for mixed- integer bi-level linear problems based on decomposition technique,.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning Resolution method for mixed- integer bi-level linear problems based on decomposition technique,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:06.690559Z

Source-reported events for the cited work

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Observation 98bff669-f5f2-4393-98e5-cc4cf9ce3d7d · outbound

This paper cites Solving bi-level mixed-integer program by refor- mulations and decomposition.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning Solving bi-level mixed-integer program by refor- mulations and decomposition

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:06.504577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f8598abc-206c-448c-863b-a16011c949cb · outbound

This paper cites A new general-purpose algorithm for mixed-integer bi-level linear programs,.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning A new general-purpose algorithm for mixed-integer bi-level linear programs,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:06.195037Z

Source-reported events for the cited work

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Observation 6250f21a-3155-48e1-8711-754192f274ff · outbound

This paper cites A bi-level programming framework for joint edge resource management and pricing,.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning A bi-level programming framework for joint edge resource management and pricing,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:05.994697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c95f3e4a-6a61-445c-972c-1bf2a065ac34 · outbound

This paper cites Computational difficulties of bi-level linear programming,.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning Computational difficulties of bi-level linear programming,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:05.768027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6c80ecaa-d71c-44d8-8627-2d456d94310b · outbound

This paper cites Solving two-stage robust optimization problems using a column-and-constraint generation method,.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning Solving two-stage robust optimization problems using a column-and-constraint generation method,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:05.457475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a1eea05b-af2f-4702-96e4-2cc45b856751 · outbound

This paper cites Price-based distributed offloading for mobile edge computing with computation capacity constraints,.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning Price-based distributed offloading for mobile edge computing with computation capacity constraints,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:05.270053Z

Source-reported events for the cited work

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Observation a1c04b92-ad47-4864-a322-6160dc2518b0 · outbound

This paper cites Game-theoretic resource pricing and provisioning strategies in cloud systems,.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning Game-theoretic resource pricing and provisioning strategies in cloud systems,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:04.878147Z

Source-reported events for the cited work

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Observation 1dc49950-3064-4ae4-9670-d5e2a453d4d7 · outbound

This paper cites Multi-leader multi-follower Stackelberg game based dynamic resource allocation for mobile cloud computing environment,.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning Multi-leader multi-follower Stackelberg game based dynamic resource allocation for mobile cloud computing environment,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:04.530009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6d4577aa-a20c-43f7-8c5b-c179019e427f · outbound

This paper cites Service pricing and selection for IoT applications offloading in the multi-mobile edge computing systems,.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning Service pricing and selection for IoT applications offloading in the multi-mobile edge computing systems,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:04.238369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f2b4be49-777b-4061-ba8f-8efbcc5dff11 · outbound

This paper cites an unresolved cited work.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:08:04.029946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 40703ada-f342-438d-a79f-a3f650256113 · outbound

This paper cites Two-stage robust edge service placement and sizing under demand uncertainty,.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning Two-stage robust edge service placement and sizing under demand uncertainty,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:03.903589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3d38671c-0ac6-4329-b748-99c0d5601dd8 · outbound

This paper cites Optimal cloudlet placement and user to cloudlet allocation in wireless metropolitan area networks,.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning Optimal cloudlet placement and user to cloudlet allocation in wireless metropolitan area networks,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:03.745868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5c7b040d-2aaf-4d77-b00d-c5ab4ddbb190 · outbound

This paper cites Cloudlet placement and task allocation in mobile edge computing,.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning Cloudlet placement and task allocation in mobile edge computing,

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:03.531137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 31c7ac83-0081-4e0c-8376-098e0088f9b0 · outbound

This paper cites Service entity placement for social virtual reality applications in edge computing.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning Service entity placement for social virtual reality applications in edge computing

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:03.393231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a6afe2ad-14c6-4c82-846b-adc77bf4a914 · outbound

This paper cites Dynamic cloud pricing for revenue maximization,.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning Dynamic cloud pricing for revenue maximization,

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:03.218118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 54e5fb24-6399-4cf0-be22-a7e5273f251e · outbound

This paper cites Dynamic pricing and profit maximization for the cloud with geo-distributed data centers,.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning Dynamic pricing and profit maximization for the cloud with geo-distributed data centers,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:03.033048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 12369921-82ed-4a1e-86dc-e0da5f227a15 · outbound

This paper cites Price-based resource allocation for edge computing: a market equilibrium approach.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning Price-based resource allocation for edge computing: a market equilibrium approach

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:02.798918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2590c013-3226-46bc-9662-033aa1f0f9f7 · outbound

This paper cites A market-based framework for multi-resource allocation in fog computing,.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning A market-based framework for multi-resource allocation in fog computing,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:02.627124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 4a0830dd-eaf0-402c-b5c0-253396480e98 · outbound

This paper cites A bandit approach to online pricing for heterogeneous edge resource allocation.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning A bandit approach to online pricing for heterogeneous edge resource allocation

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:02.428087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 817ee2ab-398b-4ff3-8c44-c14a891b7041 · outbound

This paper cites an unresolved cited work.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:08:02.267276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5c4eac4f-12b6-471a-ab14-96e97a101976 · outbound

This paper cites A bi-level optimization approach for joint offloading decision and resource allocation in co- operative mobile edge computing,.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning A bi-level optimization approach for joint offloading decision and resource allocation in co- operative mobile edge computing,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:02.100290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation fc65f237-0f9d-4450-9d97-aa6caefc7477 · outbound

This paper cites bi-level Programming: A Combinatorial Perspective,.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning bi-level Programming: A Combinatorial Perspective,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:01.929729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1d542b98-9af8-40e2-87d7-2cf3d0cd7222 · outbound

This paper cites Integer programming,.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning Integer programming,

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:01.684361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 241ae5a6-b989-4d25-8d14-c5a61e5dc7a0 · outbound

This paper cites Mixed-integer bi-level optimization through multi-parametric programming,.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning Mixed-integer bi-level optimization through multi-parametric programming,

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:01.557398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2ee09d0e-cb0e-43a5-a0c8-3238904fe82d · outbound

This paper cites Interdiction and discrete bi-level linear programming,.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning Interdiction and discrete bi-level linear programming,

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:01.360427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 762a8f22-d668-4f21-9a72-c8c8520002c7 · outbound

This paper cites Green cloudlet network: a sustainable platform for mobile cloud computing,.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning Green cloudlet network: a sustainable platform for mobile cloud computing,

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:01.013510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1b293dee-7c66-48b4-be83-6d58cb74b895 · outbound

This paper cites A representation and economic inter- pretation of a two-level programming problem,.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning A representation and economic inter- pretation of a two-level programming problem,

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:00.737572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 359504d7-886b-4468-9a2e-e1bcdc170e4a · outbound

This paper cites A note on linearized reformulations for a class of bi-level linear integer problems,.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning A note on linearized reformulations for a class of bi-level linear integer problems,

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:00.319150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6402b380-3d31-4927-b655-6cd1277c2377 · outbound

This paper cites an unresolved cited work.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:08:00.042172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 79b119b8-74ea-4c11-bd97-190ed5eafa82 · outbound

This paper cites It is important to note that p, ps, z, and tk represent the parameters in this context.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning It is important to note that p, ps, z, and tk represent the parameters in this context

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:07:59.805611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1c7c66c1-6d84-468b-a9a4-b9052b2cb824 · outbound

This paper cites Hence, using (52), the bilinear term pjµk 1 can be written as a linear function of πk j = (π1,k j ,.

A Mixed-Integer Bi-level Model for Joint Optimal Edge Resource Pricing and Provisioning Hence, using (52), the bilinear term pjµk 1 can be written as a linear function of πk j = (π1,k j ,

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:07:59.645222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

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