scholarly journals Coordination and Optimization: The Integrated Supply Chain Analysis with Non-Linear Price-Sensitive Demand

2011 ◽  
Vol 2 (1) ◽  
pp. 83-94
Author(s):  
Mohammed Forhad UDDIN ◽  
Kazushi SANO
Keyword(s):  
Supply Chain ◽  
Demand Function ◽  
Integer Program ◽  
Coordination Mechanism ◽  
Mixed Integer ◽  
Mixed Integer Program ◽  
Selling Price ◽  
Penalty Cost ◽  
Non Linear ◽  
Integrated Supply Chain

In this work, a supply chain with coordination mechanism consisting single vendor and buyer is considered. Further, instead of price sensitive linear or deterministic demand function, a price-sensitive non-linear demand function is introduced in this paper. To find the inventory cost, penalty cost and transportation cost, it is considered that the production and shipping functions of vendor are continuously harmonized and occur at the same rate. In this integrated supply chain, the Buyer’s Linear Program (LP), vendor’s Integer Program (IP) and coordinated Mixed Integer Program (MIP) models are formulated. Numerical examples presented in this research, which include the sensitivity of the key parameters to illustrate the models.  The solution procedures demonstrate that the individual profit as well as joint profit could be increased by coordination mechanism even though the demand function is non-linear. In addition, the results illustrate that Buyer’s selling price with consumers purchasing price could be decreased which may increase the demand of the end market. Finally, a conclusion is drawn in favor of the coordinated supply chain with non-linear price sensitive demand function.  

scholarly journals Supply Chain Optimization by Mixed Integer Program for Manufacturer and Retailer System of Poultry firm in Bangladesh

2016 ◽  
Vol 34 ◽  
pp. 75-87
Author(s):  
Mohammad Khairul Islam ◽  
Mohammed Forhad Uddin ◽  
Md M Alam
Keyword(s):  
Large Scale ◽  
Raw Materials ◽  
Integer Program ◽  
Mixed Integer ◽  
Mixed Integer Program ◽  
Selling Price ◽  
Supply Chain Optimization ◽  
Self Employment ◽  
Gdp Growth Rate ◽  
The Cost

In this study, we formulate mixed integer program for manufacturer and retailer system of poultry firm in Bangladesh that is one of the most promising sectors to increase Gross Domestic Product (GDP) growth rate plus equitable distribution through arranging food security as well as ensuring self-employment, creating purchasing power and reducing poverty at a large scale. From the survey, it has observed that the selling price of eggs and chicken fluctuate depending on the natural calamities. We have made a question survey on some poultry firm in the district of Mymensingh and Gazipur. This paper maximized the profit and minimizes the cost. The formulated mixed integer program has solved by branch and bound algorithm using A Mathematical Programming Language (AMPL). It has observed that the profit and selling price have very good relationship with production cost and raw materials cost but no significant relation with fixed cost.GANIT J. Bangladesh Math. Soc.Vol. 34 (2014) 75-87

Integrated Vehicle Routing and Service Scheduling Under Time and Cancellation Uncertainties with Application in Nonemergency Medical Transportation

2021 ◽  
Author(s):  
Xian Yu ◽  
Siqian Shen ◽  
Huizhu Wang
Keyword(s):  
Vehicle Routing ◽  
Census Data ◽  
Integer Program ◽  
Mixed Integer ◽  
Mixed Integer Program ◽  
Penalty Cost ◽  
Service Scheduling ◽  
Trip Time ◽  
Out Of Sample ◽  
Delivery Services

In this paper, we consider an integrated vehicle routing and service scheduling problem for serving customers in distributed locations who need pick-up, drop-off, or delivery services. We take into account the random trip time, nonnegligible service time, and possible customer cancellations, under which an ill-designed schedule may lead to undesirable vehicle idleness and customer waiting. We build a stochastic mixed-integer program to minimize the operational cost plus expected penalty cost of customers’ waiting time, vehicles’ idleness, and overtime. Furthermore, to handle real-time arrived service requests, we develop K-means clustering-based algorithms to dynamically update planned routes and schedules. The algorithms assign customers to vehicles based on similarities and then plan schedules on each vehicle separately. We conduct numerical experiments based on diverse instances generated from census data and data from the Ford Motor Company’s GoRide service, to evaluate result sensitivity and to compare the in-sample and out-of-sample performance of different approaches. Managerial insights are provided using numerical results based on different parameter choices and uncertainty settings.

IBM Solves a Mixed-Integer Program to Optimize Its Semiconductor Supply Chain

2006 ◽  
Vol 36 (5) ◽  
pp. 386-399 ◽  
Author(s):  
Brian T. Denton ◽  
John Forrest ◽  
R. John Milne
Keyword(s):  
Supply Chain ◽  
Integer Program ◽  
Mixed Integer ◽  
Mixed Integer Program

A stochastic mixed integer program to model spatial wildfire behavior and suppression placement decisions with uncertain weather

2016 ◽  
Vol 46 (2) ◽  
pp. 234-248 ◽  
Author(s):  
Erin J. Belval ◽  
Yu Wei ◽  
Michael Bevers
Keyword(s):  
Wildland Fire ◽  
Fire Behavior ◽  
Integer Program ◽  
Mixed Integer ◽  
Mixed Integer Program ◽  
Weather Forecasts ◽  
Placement Decisions ◽  
Weather Events ◽  
Weather Changes ◽  
Nonanticipativity Constraints

Wildfire behavior is a complex and stochastic phenomenon that can present unique tactical management challenges. This paper investigates a multistage stochastic mixed integer program with full recourse to model spatially explicit fire behavior and to select suppression locations for a wildland fire. Simplified suppression decisions take the form of “suppression nodes”, which are placed on a raster landscape for multiple decision stages. Weather scenarios are used to represent a distribution of probable changes in fire behavior in response to random weather changes, modeled using probabilistic weather trees. Multistage suppression decisions and fire behavior respond to these weather events and to each other. Nonanticipativity constraints ensure that suppression decisions account for uncertainty in weather forecasts. Test cases for this model provide examples of fire behavior interacting with suppression to achieve a minimum expected area impacted by fire and suppression.

A Note on a Conceptual Framework for Dynamic Location—Allocation Analysis

1976 ◽  
Vol 8 (4) ◽  
pp. 443-446
Author(s):  
W G Truscott
Keyword(s):  
Conceptual Framework ◽  
Integer Program ◽  
Original Version ◽  
Mixed Integer ◽  
Mixed Integer Program ◽  
Location Allocation ◽  
Dynamic Location

This note examines a previously published model for dynamic location—allocation analysis. The usefulness of this model is enhanced by reformulating the problem as an operational zero-one, mixed-integer program while retaining the intent of the original version.

scholarly journals A GRASP Approach for Solving Large-Scale Electric Bus Scheduling Problems

Energies ◽  
2021 ◽  
Vol 14 (20) ◽  
pp. 6610
Author(s):  
Raka Jovanovic ◽  
Islam Safak Bayram ◽  
Sertac Bayhan ◽  
Stefan Voß
Keyword(s):  
Public Transport ◽  
High Speed ◽  
Large Scale ◽  
Integer Program ◽  
Mixed Integer ◽  
Transport Systems ◽  
Mixed Integer Program ◽  
Scheduling Problems ◽  
Electric Bus ◽  
Battery Capacity

Electrifying public bus transportation is a critical step in reaching net-zero goals. In this paper, the focus is on the problem of optimal scheduling of an electric bus (EB) fleet to cover a public transport timetable. The problem is modelled using a mixed integer program (MIP) in which the charging time of an EB is pertinent to the battery’s state-of-charge level. To be able to solve large problem instances corresponding to real-world applications of the model, a metaheuristic approach is investigated. To be more precise, a greedy randomized adaptive search procedure (GRASP) algorithm is developed and its performance is evaluated against optimal solutions acquired using the MIP. The GRASP algorithm is used for case studies on several public transport systems having various properties and sizes. The analysis focuses on the relation between EB ranges (battery capacity) and required charging rates (in kW) on the size of the fleet needed to cover a public transport timetable. The results of the conducted computational experiments indicate that an increase in infrastructure investment through high speed chargers can significantly decrease the size of the necessary fleets. The results also show that high speed chargers have a more significant impact than an increase in battery sizes of the EBs.

Multi-Objective Territory Design for Sales Managers of a Direct Sales Company

2019 ◽  
pp. 160-178 ◽  
Author(s):  
Elias Olivares-Benitez ◽  
Pilar Novo Ibarra ◽  
Samuel Nucamendi-Guillén ◽  
Omar G. Rojas
Keyword(s):  
Integer Program ◽  
National Average ◽  
Mixed Integer ◽  
Mixed Integer Program ◽  
Sales Managers ◽  
Territory Design ◽  
Direct Sales ◽  
Sales Company ◽  
A Company

This chapter presents a case study to organize the sales territories for a company with 11 sales managers to be assigned to 111 sales coverage units in Mexico. The assignment problem is modeled as a mathematical program with two objective functions. One objective minimizes the maximum distance traveled by the manager, and the other objective minimizes the variation of the sales growth goals with respect to the national average. To solve the bi-objective non-linear mixed-integer program, a weights method is selected. Some instances are solved using commercial software with long computational times. Also, a heuristic and a metaheuristic based on simulated annealing were developed. The design of the heuristic generates good solutions for the distance objective. The metaheuristic produces better results than the heuristic, with a better balance between the objectives. The heuristic and the metaheuristic are capable of providing good results with short computational times.

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