Pennanen, Teemu. <br/><br/>
Convex Stochastic Optimization  Dynamic Programming and Duality in Discrete Time /  [electronic resource] : 
by Teemu Pennanen, Ari-Pekka Perkkiö. 
 - 1st ed. 2024. 
 - XI, 412 p.  online resource. 
 - Probability Theory and Stochastic Modelling,  107  2199-3149 ; .
 - Probability Theory and Stochastic Modelling,  107 .
<br/><br/>1. Convex Stochastic Optimization -- 2. Dynamic Programming -- 3. Duality -- 4. Absence of a Duality Gap -- 5. Existence of Dual Solutions. 
<br/><br/> This book studies a general class of convex stochastic optimization (CSO) problems that unifies many common problem formulations from operations research, financial mathematics and stochastic optimal control. We extend the theory of dynamic programming and convex duality to allow for a unified and simplified treatment of various special problem classes found in the literature. The extensions allow also for significant generalizations to existing problem formulations. Both dynamic programming and duality have played crucial roles in the development of various optimality conditions and numerical techniques for the solution of convex stochastic optimization problems. 
<br/><br/><label>ISBN: </label>9783031764325 
<br/><br/><label>Standard No.: </label>10.1007/978-3-031-76432-5  doi 
<br/><br/><label>Subjects--Topical Terms: </label><br/><br/><br/>--Mathematics.<br/><br/><br/><br/><br/><br/><br/><br/><br/><br/>
<br/><br/><label>LC Class. No.: </label>QA402.5-402.6