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Table 3 Summary for approaches for rescheduling in conventional railways

From: A review of passenger-oriented railway rescheduling approaches

Paper

Capacity

Type

Scope

Rescheduling measures

Rescheduling models

Passenger details

Objective function minimized

Solution approach

Schöbel [7]

 

P

MA

RT + RO

MIP

S

TPD

E (Branch and bound)

Heilporn et al. [8]

 

P

MA

RT + RO

MIP

S

TPD

E (Branch and cut) and H (constraint generation)

Schachtebeck et al. [9]

RC

P

MA

RT + RO

IP

S

TPD + NMC

H (FSFS, FRFS,EARLYFIX)

Schöbel [10]

TC

P

MA

RT + RO

IP

S

TPD + NMC

H (FSFS and B & B-OS)

Dollevoet et al. [11]

 

P

MA

RT + RO

IP

S

ATP

E (Dijkstra algorithm)

Dollevoet and Huisman [12]

 

P

MA

RT + RO

IP

S

TPD

H (Three sets of heuristics)

Dollevoet et al. [13]

TC + SC

P

MA

RT + RO

IP

S

TPD + NTC

H (Iterative heuristics)

Kanai et al. [14]

TC

P

MA

RT + RO

MIP

S

PI

M (Tabu search algorithm)

Sato et al. [30]

TC + SC

P

MI

RT + RO + RR

MIP

S

PI

E and H (Exact and heuristics methods)

Tanaka et al. [16]

TC + TSC

P

MA

RT + RO

O

D

PI

E (Dijkstra algorithm)

Norio et al. [15]

TC + SC

P

MA

RT + RO + RR + AS + E + C + RSR

O

I

PI

M(Simulated Modelling) and PERT

Zhu and Goverde [17]

TC + SC

D

MA

RT + RO + AS + SS + ST + C

MIP

S

TDP

E (Gurobi Solver)

Zhu and Goverde [18]

TC + SC

D

MA

RT + RO + AS + SS + ST + C

MIP

D

GTT

M (Adapted fix-and-optimize algorithm)

Binder et al. [19]

TC + SC + TSC

D

MA

RT + RO + RR + C + E

IP

D

PI + OC + TTT

E (Commercial solver)

Binder et al. [20]

TC + SC + TSC

D

MA

RT + RO + RR + C + E + SS

O

S

PI + OC + TTT

M (Adaptive large neighbourhood search)

Hong et al. [21]

TC + TSC

D

MA

RT + RO + RR + AS

MIP

D

NSP + TTT

E (Commercial solver)

Kroon et al. [22]

TC + TSC

D

MA

RT + RO + RSR

IP

D

GTT + RSR

H (Iterative heuristics) and simulation

Vennlenturf et al. [23]

TC + RSC

D

MA

RT + RO + AS + RSR

IP

D

RSR + SC + PEC

H (Iterative heuristics)

Hoogervorst et al. [25]

TSC

D

MA

RT + RO + ST + RSR

MIP

S

GTT + PC

E (Branch & bound and branch & price)

Espinose-Aranda and García-Ródenas [27]

TC

P

MI

RT + RO

IP + AG

S

TPD

H (Avoid most delayed alternative arc)

Dollevoet et al. [28]

TC + SC

P

MI

RT + RO

IP

S

TTD + NMC

H (Iterative approach)

Corman et al. [26]

TC

P

MI

RT + RO

MIP + AG

S

TTD + NMC

H (Three iterative heuristics algorithms)

Corman et al. [29]

TC

P

MI

RT + RO

MIP + AG

S

GTT

H (Three iterative heuristics algorithms)

Toletti and Weidmann [31]

TC + SC

P

MI

RT + RO

IP

D

TTD + TPD + PI

E (Commercial solver) and simulation

Shakibayifar et al. [32]

TC + SC

D

MI

RT + RO + SC

MIP

S

TTD + PC

E (Exact method) and H (two heuristics)

Zhan et al. [33]

TC + SC + TSC

D

MI

RT + RO + C

IP

S

OC + PEC

E (Alternating direction method of multipliers and lagrangian relaxation)