This paper introduces a new routing problem referred to as the vehicle routing problem with vector profits. Given a network composed of nodes (depot/sites) and arcs connecting the nodes, the problem determines routes that depart from the depot, visit sites to collect profits, and return to the depot. There are multiple stakeholders interested in the mission and each site is associated with a ve...

There is a major resurgence of interest in brown adipose tissue (BAT) biology, particularly regarding its determinants and consequences in newborns and infants. Reliable methods for non-invasive BAT measurement in human infants have yet to be demonstrated. The current study first validates methods for quantitative BAT imaging of rodents post mortem followed by BAT excision and re-imaging of exc...

the travelling salesmen problem (tsp) is one of the most important and famous combinational optimization problems that aim to find the shortest tour. in this problem, the salesman starts to move from an arbitrary place called depot and after visiting all nodes, finally comes back to depot. solving this problem seems hard because program statement is simple and leads this problem belonging to np...

The heterogeneous fixed fleet open vehicle routing problem (HFFOVRP) is one of the most significant extension problems of the open vehicle routing problem (OVRP). The HFFOVRP is the problem of designing collection routes to a number of predefined nodes by a fixed fleet number of vehicles with various capacities and related costs. In this problem, the vehicle doesn’t return to the depot after se...

An $n$ -dimensional source with memory is observed by notation="LaTeX">$K$ isolated encoders via parallel channels, who compress their observations to transmit the decoder noiseless rate-constrained links while leveraging of past. At ...

Multi-depot Location-Routing Problem (MDLRP) is about finding the optimal number and locations of depots while allocating customers to depots and determining vehicle routes to visit all customers. In this study we propose a nested Lagrangian relaxation-based method for the discrete uncapacitated MDLRP. An outer Lagrangian relaxation embedded in subgradient optimization decomposes the parent pro...

This paper presents a new mathematical model of the vehicle routing problem in the context of city distribution, which considers multi-depot, multi-model vehicles and multi-task. The objective function includes three parts: transport cost, deadheading cost and time cost. To solve this mathematical model, a self-adaptive and polymorphic ant colony algorithm (APACA) has been introduced. Finally, ...

The Rental Fleet Scheduling Problem (RFSP) arises in vehicle rental operations that offer a wide variety of vehicle types to customers, and allow a rented vehicle to “migrate” to a setdown depot other than the pickup depot. When there is a shortage of vehicles of a particular type at a depot, vehicles may be relocated to that depot, or vehicles of similar types may be substituted. The RFSP invo...

The Vehicle Routing Problem (VRP) involves the design of a set of minimum cost vehicle routes, originating and terminating at a central depot, for a fleet of vehicles that services a set of customers with known demands. This study contains some information about Logistics and Supply Chain Management. In the second part Distribution Management, which is a more related subject with Vehicle Routin...

In this paper, the fuzzy multi-depot vehicle routing problem with simultaneous pickup and delivery (FMDVRP-SPD) is investigated. The FMDVRP-SPD is the problem of allocating customers to several depots, so that the optimal set of routes is determined simultaneously to serve the pickup and the delivery demands of each customer within scattered depots. In the problem, both pickup and delivery dema...