Optimization of the decentralized cash management problem

This paper treats the problem of determining optimal level of transaction balances in a decentralized firm. In conformity with the practices of such firms, cash generated at dispersed location is concentrated at central locations prior to short-term investment and borrowing. Under deterministic assumptions, an optimal transfer/investment is derived and a simple procedure for determining optimal parameters is described.     

Unequal connections

Empirical work suggests that social and economic networks are characterized by an unequal distribution of connections across individuals. This paper explores the circumstances under which networks will or will not exhibit inequality. Two specific models of network formation are explored. The first is a playing the field game in which the aggregate payoffs of an individual depend only on the number of his links and the aggregate number of links of the rest of the population. The second is a local spillovers game in which the aggregate payoffs of an individual depend on the distribution of links of all players and the identity of neighbors. For both class of games we develop results on existence and characterize equilibrium networks under different combinations of externalities/spillovers. We also examine conditions under which having more connections implies a higher payoff.     

Photon production from baryon rich quark-gluon plasma

We study high energy photon production from a quark-gluon plasma at finite baryon density. We find that the photon production spectrum from the quark-gluon plasma maintained at constant temperature is only mildly dependent on the quark chemical potential.     

Determination of Economic Packaging Set-Up Frequency of Jointly Replenished Items: A Classroom Approach

This paper deals with the problem of determining the economic operating policy for inventory items which are manufactured jointly but packaged individually. A modification is proposed to Silver's algorithm, which is generally believed to be the simplest heuristic algorithm for determining the economic operating policy for jointly replenished items.     

Economic Order Quantity under Conditions of Permissible Delay in Payments

In this paper, mathematical models have been derived for obtaining the economic order quantity for an item for which the supplier permits a fixed delay in settling the amount owed to him. An example has been solved to illustrate the method.     

A characterization of prime radical in near-rings under chain conditions on annihilators

It has been proved that ifR is a near-ring that satisfiesd.c.c anda.c.c. on right annihilators of its righR-subsets, then the prime radicalP(r) is a nilpotent ideal. A few results are included in Author's Doctoral Dissertation at Sukhadia University, Udaipur (1983).     

Small angle neutron scattering from micellar solutions of triton X-100

Micellar solutions of non-ionic surfactant triton X-100 (8% by weight) show phase separation at cloud pointT _cp ～ 335 K. This paper reports results of small angle neutron scattering (SANS) experiments from this solution as a function of temperature between 298 and 332 K. The range of wave-vector transferQ, covered in these experiments is from 0.02 to 0.15 Å^?1. It is seen that as one approachesT _cp, the neutron scattering cross section diverges in the region of lowQ (<0.06 Å^?1) while it is independent of temperature in region of largeQ(>0.06 Å^?1). We believe that the divergence of scattering at lowQ with an increase in temperature is because of changes in the structure factorS(Q) of the solution. The measured distributions have been analyzed using four different models for inter-micellar potential. The models used to calculate the structure factorS(Q) are (1) mean spherical approximation (MSA) with Yukawa tail for attractive potential, (2) MSA with an attractive square well potential, (3) random phase approximation (RPA) with an attractive square-well potential and (4) Sticky hard sphere model (attractive square-well potential with Percus-Yevick approximation). The strengths of the attractive potential required to fit the SANS data are (?6.6 to ? 14.4)/kt for model (1), (? 6.6 to ? 15.0)/kt for model (2), (? 3.8 to ? 7.3)/k _B T for model (3) and (?2 to ?2.7)/kt for model (4). On the basis of reasonableness of the derived strength of the potential near the phase separation temperature and its relative temperature dependence, it is concluded that present data favour the Sticky hard sphere model.