The balancing numbers are natural numbers n satisfying the Diophantine equation 1 + 2 + 3 + · · · + (n − 1) = (n + 1) + (n + 2) + · · · + (n + r); r is the balancer corresponding to the balancing number n.The n balancing number is denoted by Bn and the sequence {Bn} ∞ n=1 satisfies the recurrence relation Bn+1 = 6Bn−Bn−1. The balancing numbers posses some curious properties, some like Fibonacci...

Consider an inventory model which consists in controlling the level of stock of a single product where the demands D1, D2, . . . for the product in periods 1, 2, . . . are independently and identically distributed i.i.d random variables with density function ψ, and finite mean μ < ∞. Assume that at the beginning of each period the system is reviewed and we are allowed to increase the level of s...

Abstract In this paper we propose a modification to the standard forecasting, periodic order-up-tolevel inventory control approach to dealing with intermittent demand items, when the lead-time length is shorter than the average inter-demand interval. In particular, we develop an approach that relies upon the employment of separate estimates of the interdemand intervals and demand sizes, when de...

It is well known that balancing and Lucas-balancing numbers are expressed as determinants of suitable tridiagonal matrices. The aim of this paper is to express certain subsequences of balancing and Lucas-balancing numbers in terms of determinants of tridiagonal matrices. Using these tridiagonal matrices, a factorization of the balancing numbers is also derived.

dynamic cellular manufacturing systems,   mixed-integer non-linear programming,   production planning, manufacturing attributes   this paper presents a novel mixed-integer non-linear programming model for the design of a dynamic cellular manufacturing system (dcms) based on production planning (pp) decisions and several manufacturing attributes. such an integrated dcms model with an extensive c...

purchase or non-purchase of one item or itemset on the purchase or non-purchase of another item or itemset. The research in this paper models for incorporating purchase dependencies in retail multi-item inventory management. One illustrative example has been discussed with data mining in retail sale data. Various types of purchase dependencies including negative dependency have been identified ...

The implementation of a load balancing policy on a continuous basis in a delay-limited distributed computing environment may not only drain the computational resources of each computational element (CE), but can also lead to an unnecessary exchange of loads between the CEs. This degrades the system performance, measured by the overall completion time of the total tasks in the system. Thus, for ...

Abstmcl-The implementation of a load balancing policy on a continuous basis in a delay-limited distributed computing environment may not only drain the computational resources of each computational element (CE), hut can also lead to an unnecessary exchange of loads between the CEs. This degrades the system performance, measured by the overall completion time of the total tasks in the system. Th...

As middleware-based distributed applications become more pervasive, the need to improve the scalability of these applications becomes increasingly important. One way to improve scalability is via load balancing. Earlier generations of middleware-based load balancing services were simplistic, however, since they focused on specific use-cases and environments, which made it hard to use these serv...