Fare inspection patrols scheduling in transit systems using a Stackelberg game approach

Brotcorne, Luce; Escalona, Pablo; Fortz, Bernard

doi:10.1016/j.trb.2021.10.001

Cited by 8 publications

(5 citation statements)

References 21 publications

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“…The algorithm is tested on a bus network in Paris, France, considering 612 stopping stations. Brotcorne et al (2021) studied the design of a fare inspection patrolling strategy and unpredictable patrolling schedule under a Stackelberg game approach. They assume that the transit authority adopts a selective inspection policy in-stations and on-board vehicles.…”

Section: Literature Reviewmentioning

confidence: 99%

“…Let U o v be the expected value of the amount paid by an opportunistic passenger who leaves the transit system at v ∈ V . As for Brotcorne et al (2021), we define U o v as the minimum between the ticket value and the expected value of the fine, i.e., U o v = min{B, F P o v }, where B is the ticket price, F is fine, and P o v is the probability that a specific opportunistic passenger is inspected leaving v ∈ V . We assume that the number of opportunistic passengers leaving…”

Section: Fare Inspection Patrolling Strategy Formulationmentioning

confidence: 99%

“…, where τ j and τ j are the start and end time of the jth time window. An exhaustive explanation of the procedure for constructing the extended network can be found in Brotcorne et al (2021).…”

Section: Fare Inspection Patrolling Strategy Formulationmentioning

confidence: 99%

“…For a realistic temporal-spatial public transportation network, it is impossible to evaluate each patrolling schedule since the size of S grows exponentially with the size of G. Following Brotcorne et al (2021), we propose to rely on a column generation (GC) approach to solve MXLP.…”

Section: An Equivalent Unpredictable Patrolling Schedule Formulationmentioning

confidence: 99%

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Fare inspection patrolling under in-station selective inspection policy

Escalona,

Brotcorne,

Fortz

et al. 2023

Ann Oper Res

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A patrolling strategy that defines fare inspection frequencies on a proofof-payment transportation system is operationally useful to the transit authority when there is a mechanism for its practical implementation. This study addresses the operational implementation of a fare inspection patrolling strategy under an in-station selective inspection policy using an unpredictable patrolling schedule, where the transit authority select a patrolling schedule each day with some probability to induce uncertainty. The challenge is to determine the set of patrolling schedules and their respective probabilities of being selected whose systematic day-to-day application matches the inspection frequencies that inhibit the action of opportunistic passengers in the medium term. We use a Stackelberg game approach to represent the hierarchical decision making process between the transit authority and opportunistic passengers, whose decision on whether to evade the fare depends on the inspection frequencies set by Fare inspection patrolling under in-station selective inspection policy the transit authority. Numerical experiments show that a joint strategyschedule approach provides good-quality unpredictable patrolling schedules with respect to the optimality gap for large-scale networks.

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Section: Literature Reviewmentioning

confidence: 99%

Section: Fare Inspection Patrolling Strategy Formulationmentioning

confidence: 99%

Section: Fare Inspection Patrolling Strategy Formulationmentioning

confidence: 99%

Section: An Equivalent Unpredictable Patrolling Schedule Formulationmentioning

confidence: 99%

See 2 more Smart Citations

Fare inspection patrolling under in-station selective inspection policy

Escalona,

Brotcorne,

Fortz

et al. 2023

Ann Oper Res

Self Cite

View full text Add to dashboard Cite

show abstract

“…The setting of the inspection level was theoretically discussed by simulated data (Boyd et al, 1989;Boyd, 2020) and formally addressed by analytical models supported by real data (Barabino et al, 2013(Barabino et al, , 2014Barabino & Salis, 2019). Further research investigated the scheduling inspection patrols by optimisation methods to provide detailed inspection plans (Yin et al, 2012;Correa et al, 2017;Brotcorne et al, 2021).…”

Section: Introductionmentioning

confidence: 99%