This paper is on the elasto-plastic analysis of plane stress problems. A five-parameter yield surface is presented. This yield criterion uses associate flow along with mixed hardening rule. The analytical formulations are written and related computer program for non-linear analysis is prepared. Finally, based on the formulations, numerical examples are solved.

Abs t r ac t . J . F . Benders devised a clever approach for exploiting the structure of mathematical programming problems with complicating variables (variables which, when temporarily fixed, render the remaining optimization problem considerably more tractable). For the class of problems specifically considered by Benders, fixing the values of the complicating variables reduces the given prob...

In this paper, we present modified fuzzy goal programming (FGP) approach and generalized MATLAB program for solving multi-level linear fractional programming problems (ML-LFPPs) based on with some major modifications in earlier FGP algorithms. In proposed modified FGP approach, solution preferences by the decision makers at each level are not considered and fuzzy goal for the decision vectors i...

A three-step algorithm is presented for discrete gate sizing problem of delay/area optimization under double-sided timing constraints. The problem is rst formulated as a linear program. The solution to the linear program is then mapped onto a permissible set. Using this permissible set, the gate sizes are adjusted to satisfy the delay lower and upper bounds simultaneously.

Tempelmeier and Hilger (2015) study the stochastic dynamic lot sizing problem with multiple items and limited capacity. They propose a linear optimization formulation for the problem based on a piece-wise linear approximation of the nonlinear functions for the expected backorders and the expected inventory position. Our work builds on Tempelmeier and Hilger (2015). We correct an erroneous deriv...

In this paper, we propose a randomized linear program to obtain bid prices for the network revenue management problem with customer choice behavior. Our development proceeds in two stages. We first formulate a mixed integer program that can be viewed as a deterministic approximation to the network revenue management problem. We then use the optimal solution to the mixed integer program to formu...

In this paper the problem of obtaining the degree of flexibility that maximizes the total profit in an existing process flowsheet is addressed. Assuming a linear model for the process and given probability distribution functions for the uncertain parameters, the curve relating the expected revenue to the flexibility index is generated. An efficient stochastic optimization method is developed fo...

Maintaining high on-time performance and at the same time having high capacity utilization is a challenge for several railway traffic systems. The system becomes sensitive to disturbances and delays are easily propagating in the network. One way to handle this problem is to create more robust timetables; timetables that can absorb delays and prevent them from propagating. This paper presents an...

We present in this paper a linear programming framework to address freeway control applications such as ramp metering. After showing the equivalence between the LWR model and a linear optimization problem, several extensions are introduced to model the ramp queues and the capacity drop phenomenon. A wide range of objective functions which are relevant in traffic engineering are then introduced ...

Copositive linear Lyapunov functions are used along with dissipativity theory for stability analysis and control of uncertain linear positive systems. Unlike usual results on linear systems, linear supply-rates are employed here for robustness and performance analysis using L1and L∞-gains. Robust stability analysis is performed using Integral Linear Constraints (ILCs) for which several classes ...